Rome_Empire_Simulation.nlogox

<?xml version="1.0" encoding="utf-8"?>
<model version="NetLogo 7.0.2" snapToGrid="true">
  <code><![CDATA[;;;;;;;;;;;;;;;;;
;;; BREEDS ;;;;;;
;;;;;;;;;;;;;;;;;

breed [ settlements settlement ]
breed [ traders trader ]

;;;;;;;;;;;;;;;;;
;;; VARIABLES ;;;
;;;;;;;;;;;;;;;;;

globals [
  routes
  ;; imperial-stability (Slider 0-100)
  legion-strength
  political-influence
  
  ;; Internal logic variables
  smoothIterations
  coastLineSmoothThreshold
  relativePathCostInLand
  portTechVariation
]

settlements-own [
  sizeLevel
  currentNumberOfTraders
  potentialNumberOfTraders
  stock
  culturalVector
  fortification-level
]

traders-own [
  isActivated
  base
  route
  destination
  direction
  lastPosition
  cargoValue
  culturalSample
  legionAttached?
]

patches-own [
  isLand
  pathCost
  parent-patch
  f
  g
  h
]

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; SETUP ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

to rome-setup
  clear-all
  
  ;; Internal settings
  set smoothIterations 2
  set coastLineSmoothThreshold 4
  set relativePathCostInLand 5
  set portTechVariation 10
  
  reset-ticks
  random-seed seed 

  rome-create-map
  rome-create-coastal-settlements
  
  print "Calculating maritime trade routes (A*)..."
  rome-set-routes
  print "Routes established."
  
  rome-create-traders-per-settlement

  ;; Force an initial display update
  rome-update-display
end

to rome-create-map
  let cx 0
  let cy 0
  if (min-pxcor > 0 or min-pycor > 0) [
    set cx round (min-pxcor + max-pxcor) / 2
    set cy round (min-pycor + max-pycor) / 2
  ]
  
  let halfSmallerDimension (world-width / 2)
  if (world-width > world-height) [ set halfSmallerDimension (world-height / 2) ]
  
  let minDistOfLandToCenter ((pondSize / 100) * halfSmallerDimension)
  let noiseRange (halfSmallerDimension * coastalNoiseLevel / 100)

  ask patches [
    let coastThreshold minDistOfLandToCenter
    
    if (noiseType = "uniform") [
      set coastThreshold minDistOfLandToCenter + (random-float noiseRange) - (noiseRange / 2)
    ]
    if (noiseType = "normal") [
      set coastThreshold random-normal minDistOfLandToCenter (noiseRange / 4)
    ]
    
    ifelse (distancexy cx cy < coastThreshold)
      [ set isLand false ]
      [ set isLand true ]
      
    rome-paint-terrain
  ]

  rome-smooth-coast-line
  rome-assign-path-cost
end

to rome-smooth-coast-line
  repeat smoothIterations [
    ask patches [
      let landNeighbors count neighbors with [isLand = true]
      let waterNeighbors count neighbors with [isLand = false]
      let totalNeighbors count neighbors
      
      ifelse (isLand = false) [
        if (landNeighbors / totalNeighbors >= coastLineSmoothThreshold / 8) [
          set isLand true
        ]
      ][
        if (waterNeighbors / totalNeighbors >= coastLineSmoothThreshold / 8) [
          set isLand false
        ]
      ]
      rome-paint-terrain
    ]
  ]
end

to rome-assign-path-cost
  ask patches [
    ifelse (isLand = false)
      [ set pathCost 1 ]
      [ set pathCost relativePathCostInLand ]
  ]
end

to rome-paint-terrain
  ifelse (isLand = false) 
    [ set pcolor 106 ] ;; Blue
    [ set pcolor 54 ]  ;; Brownish-Green
end

to rome-create-coastal-settlements
  let coastalPatches patches with [(isLand = true) and (any? neighbors with [isLand = false])]
  
  repeat numberOfSettlements [
    if any? coastalPatches with [not any? settlements-here] [
      ask one-of coastalPatches with [not any? settlements-here] [
        sprout-settlements 1 [
          set sizeLevel 1
          set stock 50 
          set culturalVector rome-extract-rgb color
          set culturalVector lput (random-normal 0 landTechVariation) culturalVector
          set culturalVector lput (random-normal 0 portTechVariation) culturalVector
          set culturalVector lput (random-float maxSettlementSizeDecayRate) culturalVector
          set culturalVector lput (random-float maxStockDecayRate) culturalVector
          set culturalVector lput (random-float maxProductionRate) culturalVector
          set culturalVector lput (random-float 1) culturalVector
          set culturalVector lput (random-float maxTraitTransmissionRate) culturalVector
          set culturalVector lput (random-float maxMutationVariation) culturalVector
          set fortification-level random 10
          set shape "circle 2"
          set size 2
        ]
        set pathCost relativePathCostInPort
      ]
    ]
  ]
end

to rome-create-traders-per-settlement
  ask settlements [
    let thisSettlement self
    set potentialNumberOfTraders rome-get-potential-number-of-traders
    hatch-traders potentialNumberOfTraders [
      rome-setup-trader thisSettlement
    ]
    set currentNumberOfTraders rome-get-current-number-of-traders
  ]
end

to rome-setup-trader [ baseSettlement ]
  set base baseSettlement
  set isActivated true
  set shape "default" 
  set color [color] of base
  set size 1.5
  set legionAttached? false
  rome-choose-destination
end

to rome-set-routes
  set routes []
  let settlementsList sort settlements
  let n length settlementsList
  
  let i 0
  while [i < n] [
    let j i + 1
    while [j < n] [
      let s1 item i settlementsList
      let s2 item j settlementsList
      
      ;; Call A* Pathfinder
      let optimalRoute rome-find-a-path ([patch-here] of s1) ([patch-here] of s2)
      
      if not empty? optimalRoute [
        set routes lput optimalRoute routes
      ]
      set j j + 1
    ]
    set i i + 1
  ]
end

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; CYCLE ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

to rome-go
  rome-update-settlements
  if not any? traders [ stop ]
  rome-update-traders
  
  ;; --- TURBO MODE ---
  ;; Only update the screen (map + plot) every 50 ticks to speed up calculation
  if ticks mod 50 = 0 [
    rome-update-display
  ]
  
  tick
  ;; No tick limit (Infinite run)
end

to rome-update-traders
  let activeTraders traders with [isActivated]
  
  ask activeTraders [
    ;; A* Position check
    if is-list? route and member? patch-here route [
      set lastPosition patch-here
    ]
    
    if rome-is-in-base or rome-is-in-destination [
      ;; LOGIC: Unload handles both Trade and War
      if cargoValue > 0 [ rome-unload-cargo ]
      
      if rome-is-in-base and ([potentialNumberOfTraders < currentNumberOfTraders] of base) [
        set isActivated false
        ask base [ set currentNumberOfTraders rome-get-current-number-of-traders ]
      ]
      
      if isActivated [
        rome-load-cargo
        if cargoValue > 0 [
          rome-choose-destination
          rome-find-direction
        ]
      ]
    ]
    
    if isActivated [
      rome-move-to-destination
    ]
  ]
end

to rome-choose-destination
  let thisTrader self
  let possibleRoutes rome-get-routes-to-settlement [base] of thisTrader
  
  if not empty? possibleRoutes [
    set possibleRoutes sort-by [ [r1 r2] -> 
      rome-benefit-cost-of-route r1 thisTrader > rome-benefit-cost-of-route r2 thisTrader 
    ] possibleRoutes
    
    set route first possibleRoutes
    
    let endpoints (rome-get-origin-and-destination route)
    set destination one-of endpoints with [self != [base] of thisTrader]
  ]
end

to rome-find-direction
  if not is-list? route or empty? route [ stop ]
  let currentPos position lastPosition route
  if currentPos = false [ stop ]
  
  ifelse (currentPos = 0) 
    [ set direction 1 ]
    [ if (currentPos = (length route - 1)) [ set direction -1 ] ]
end

to rome-move-to-destination
  if not is-list? route or empty? route [ stop ]
  
  if position lastPosition route = false [
    set lastPosition min-one-of (patch-set route) [distance myself]
  ]

  let currentPos position lastPosition route
  if currentPos = false [ stop ]
  
  let targetIdx currentPos + direction
  if targetIdx < 0 or targetIdx >= length route [ stop ]
  
  let target item targetIdx route
  facexy ([pxcor] of target) ([pycor] of target)
  
  let step-size 0.5
  let dist distancexy ([pxcor] of target) ([pycor] of target)
  
  forward min (list step-size dist)
end

to-report rome-is-in-base
  report distance base < 1.0
end

to-report rome-is-in-destination
  ifelse destination = nobody [ report false ] [ report distance destination < 1.0 ]
end

;; --- WAR & TRADE LOGIC ---
to rome-unload-cargo
  let settlementHere one-of settlements-here
  if settlementHere != nobody [
    
    ;; 1. Calculate Cultural Difference
    let myCulture (sublist [culturalVector] of base 0 3)
    let theirCulture (sublist [culturalVector] of settlementHere 0 3)
    let culturalDist distance-between-vectors myCulture theirCulture
    
    ;; 2. Determine Threshold based on Stability Slider
    let tolerance (imperial-stability * 4) 
    
    ifelse (culturalDist > tolerance) [
      ;; WAR: Raid behavior
      ask settlementHere [ rome-raid-settlement myself ]
      set cargoValue 0
    ] [
      ;; PEACE: Trade behavior
      ask settlementHere [ rome-add-trade-effect myself ]
      set cargoValue 0
    ]
  ]
end

;; --- THE "NO MERCY" RAID UPDATE ---
to rome-raid-settlement [ invader ]
  ;; Visual Feedback: Flash Red
  set color red
  
  ;; NUCLEAR LOGIC: No Defense. Pure Damage.
  let attackStrength ([cargoValue] of invader)
  
  ;; 1. Walls crumble instantly
  if fortification-level > 0 [ set fortification-level 0 ]
  
  ;; 2. Damage is raw and unmitigated (1:1 Ratio)
  ;; If Trader has 100 cargo, City loses 100 Size immediately.
  let damage attackStrength
  
  if damage > 0 [
    ;; Steal Stock
    set stock max (list 0 (stock - damage))
    
    ;; Kill Population (Fast Decay)
    set sizeLevel max (list 1 (sizeLevel - damage))
  ]
end

to-report distance-between-vectors [ v1 v2 ]
  let sum-sq 0
  let i 0
  foreach v1 [ [x] ->
    let y item i v2
    set sum-sq sum-sq + ((x - y) ^ 2)
    set i i + 1
  ]
  report sqrt sum-sq
end
;; --- END WAR LOGIC ---

to rome-load-cargo
  let settlementHere one-of settlements-here
  if settlementHere != nobody [
    set cargoValue [stock] of settlementHere
    ask settlementHere [ set stock 0 ]
    set culturalSample [culturalVector] of settlementHere
  ]
end

to rome-update-settlements
  ask settlements [
    ;; Decay and Production
    set sizeLevel max (list 1 (sizeLevel * (1 - ((item 5 culturalVector) / 100)) ) )
    set stock (stock * (1 - ((item 6 culturalVector) / 100))) + (sizeLevel * ((item 7 culturalVector) / 100))
    
    set potentialNumberOfTraders rome-get-potential-number-of-traders
    set currentNumberOfTraders rome-get-current-number-of-traders

    ;; Spawn new traders logic
    if (currentNumberOfTraders < potentialNumberOfTraders and random-float 1 < 0.1) [
      hatch-traders 1 [ rome-setup-trader myself ]
      set currentNumberOfTraders currentNumberOfTraders + 1
    ]
    rome-mutate-traits
  ]
end

to rome-add-trade-effect [ aTrader ]
  let incomingSample [culturalSample] of aTrader
  let transmissionRate ((item 9 culturalVector) / 100)
  
  let newVector []
  let i 0
  foreach culturalVector [ [trait] ->
    let otherTrait item i incomingSample
    let change (otherTrait - trait) * transmissionRate
    set newVector lput (trait + change) newVector
    set i i + 1
  ]
  set culturalVector newVector
  set sizeLevel sizeLevel + ([cargoValue] of aTrader / 10)
end

to rome-mutate-traits
  let mVar (item 10 culturalVector) / 100
  set culturalVector replace-item 0 culturalVector rome-mutate-trait (item 0 culturalVector) 0 255 mVar
  set culturalVector replace-item 8 culturalVector rome-mutate-trait (item 8 culturalVector) 0 1 mVar
end

to-report rome-mutate-trait [ val minV maxV mVar ]
  let res val + (random-normal 0 mVar) * (maxV - minV)
  report max (list minV min (list maxV res))
end

to-report rome-get-potential-number-of-traders
  report floor (1 + (sizeLevel - 1) * (item 8 culturalVector))
end

to-report rome-get-current-number-of-traders
  let b self
  report count traders with [isActivated and base = b]
end

;; --- VISUALIZATION & PLOTTING ---
to rome-update-display
  ;; 1. Update Map Visuals
  ask settlements [ 
    let visualSize 1 + (log sizeLevel 10)
    if visualSize > 5 [ set visualSize 5 ]
    set size visualSize
    ;; Show size label if huge
    ifelse sizeLevel > 50 
      [ set label round sizeLevel ]
      [ set label "" ]
  ]
  
  ;; 2. Update Wealth Distribution Plot (Lorenz Curve)
  if plot-exists? "Wealth Distribution" [
    set-current-plot "Wealth Distribution"
    clear-plot
    
    ;; A. Perfect Equality Line (Gray)
    create-temporary-plot-pen "Equality"
    set-plot-pen-color gray
    plot 0 plot 0
    plot 100 plot 100
    
    ;; B. Calculate Inequality
    let wealth-list sort [sizeLevel + stock] of settlements
    let total-wealth sum wealth-list
    let n count settlements
    
    ;; C. Reality Line (Red)
    create-temporary-plot-pen "Reality"
    set-plot-pen-color red
    plot 0 plot 0
    
    let accumulated-wealth 0
    let i 0
    
    if total-wealth > 0 [
      foreach wealth-list [ [w] ->
        set accumulated-wealth accumulated-wealth + w
        set i i + 1
        plotxy ((i / n) * 100) ((accumulated-wealth / total-wealth) * 100)
      ]
    ]
  ]
end

to-report plot-exists? [ name ]
  let exists? false
  carefully [ 
    set-current-plot name 
    set exists? true 
  ] [ ]
  report exists?
end

;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; A* PATHFINDING ALGORITHM ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;

to-report rome-extract-rgb [ c ]
  ifelse is-list? c [ report c ] [ report extract-rgb c ]
end

to-report rome-find-a-path [ start-patch end-patch ]
  ask patches [ 
    set f 0 
    set g 0 
    set h 0 
    set parent-patch nobody 
  ]
  
  let open (patch-set start-patch)
  let closed (patch-set)
  let current start-patch
  
  ask start-patch [
    set g 0
    set h distance end-patch
    set f g + h
  ]
  
  while [any? open] [
    set current min-one-of open [f]
    
    if current = end-patch [
      let path (list current)
      while [current != start-patch] [
        set current [parent-patch] of current
        set path fput current path
      ]
      report path
    ]
    
    set open open with [self != current]
    set closed (patch-set closed current)
    
    ask [neighbors] of current [
      if not member? self closed and (not isLand or self = end-patch) [
        let tentative-g [g] of current + 1
        let better-path? false
        
        ifelse member? self open [
          if tentative-g < g [
            set g tentative-g
            set better-path? true
          ]
        ] [
          set g tentative-g
          set better-path? true
          set open (patch-set open self)
        ]
        
        if better-path? [
          set h distance end-patch
          set f g + h
          set parent-patch current
        ]
      ]
    ]
  ]
  report [] 
end

to-report rome-get-routes-to-settlement [ s ]
  report filter [ [r] -> 
    is-list? r and not empty? r and (
      member? s (settlements-on first r) or 
      member? s (settlements-on last r)
    )
  ] routes
end

to-report rome-get-origin-and-destination [ r ]
  report (turtle-set (settlements-on first r) (settlements-on last r))
end

to-report rome-benefit-cost-of-route [ r t ]
  let c sum map [ [p] -> rome-get-path-cost p t ] r
  let b sum [sizeLevel] of (rome-get-origin-and-destination r)
  ifelse c = 0 [ report 0 ] [ report b / c ]
end

to-report rome-get-path-cost [ p t ]
  let base-cost [pathCost] of p
  if [isLand] of p [
    let trait-idx ifelse-value (any? settlements-here) [4] [3]
    set base-cost base-cost + (item trait-idx [culturalVector] of [base] of t)
  ]
  report max (list 0.1 base-cost)
end]]></code>
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    <button x="40" y="35" height="40" disableUntilTicks="false" forever="false" kind="Observer" width="55" display="setup">rome-setup</button>
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    <slider x="30" step="1" y="465" max="20" width="250" display="maxSettlementSizeDecayRate" height="50" min="0.001" direction="Horizontal" default="0.001" variable="maxSettlementSizeDecayRate"></slider>
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      <choice type="string" value="uniform"></choice>
      <choice type="string" value="normal"></choice>
    </chooser>
    <plot x="830" autoPlotX="true" yMax="10.0" autoPlotY="true" y="15" xMin="0.0" height="175" legend="false" xMax="10.0" yMin="0.0" width="230" display="Settlements">
      <setup></setup>
      <update></update>
      <pen interval="1.0" mode="0" display="default" color="-16777216" legend="true">
        <setup></setup>
        <update>plot count settlements</update>
      </pen>
    </plot>
    <slider x="635" step="1" y="465" max="100" width="250" display="imperial-stability" height="50" min="0" direction="Horizontal" default="100.0" variable="imperial-stability"></slider>
    <plot x="835" autoPlotX="true" yMax="10.0" autoPlotY="true" yAxis="% of Wealth" y="205" xMin="0.0" height="250" legend="false" xMax="10.0" yMin="0.0" width="420" xAxis="% of Population" display="Wealth Distribution">
      <setup></setup>
      <update></update>
      <pen interval="1.0" mode="0" display="default" color="-16777216" legend="true">
        <setup></setup>
        <update>plot count turtles</update>
      </pen>
    </plot>
  </widgets>
  <info>## WHAT IS IT?

(a general understanding of what the model is trying to show or explain)

## HOW IT WORKS

(what rules the agents use to create the overall behavior of the model)

## HOW TO USE IT

(how to use the model, including a description of each of the items in the Interface tab)

## THINGS TO NOTICE

(suggested things for the user to notice while running the model)

## THINGS TO TRY

(suggested things for the user to try to do (move sliders, switches, etc.) with the model)

## EXTENDING THE MODEL

(suggested things to add or change in the Code tab to make the model more complicated, detailed, accurate, etc.)

## NETLOGO FEATURES

(interesting or unusual features of NetLogo that the model uses, particularly in the Code tab; or where workarounds were needed for missing features)

## RELATED MODELS

(models in the NetLogo Models Library and elsewhere which are of related interest)

## CREDITS AND REFERENCES

(a reference to the model's URL on the web if it has one, as well as any other necessary credits, citations, and links)
</info>
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  <previewCommands>setup repeat 75 [ go ]</previewCommands>
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